Solve 4*22/7*21/2*21/2

$$4 \times \frac{ 22 }{ 7 } \times \frac{ 21 }{ 2 } \times \frac{ 21 }{ 2 }$$

Evaluate

$$1386$$

Solution Steps

Express 4\times \frac{22}{7} as a single fraction.

$$\frac{4\times 22}{7}\times \frac{21}{2}\times \frac{21}{2}$$

Multiply 4 and 22 to get 88.

$$\frac{88}{7}\times \frac{21}{2}\times \frac{21}{2}$$

Multiply \frac{88}{7} times \frac{21}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{88\times 21}{7\times 2}\times \frac{21}{2}$$

Do the multiplications in the fraction \frac{88\times 21}{7\times 2}.

$$\frac{1848}{14}\times \frac{21}{2}$$

Divide 1848 by 14 to get 132.

$$132\times \frac{21}{2}$$

Express 132\times \frac{21}{2} as a single fraction.

$$\frac{132\times 21}{2}$$

Multiply 132 and 21 to get 2772.

$$\frac{2772}{2}$$

Divide 2772 by 2 to get 1386.

$$1386$$

Factor

$$2\times 3^{2}\times 7\times 11$$